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Université de Fribourg

Extending the mathematical palette for developmental pattern formation: piebaldism

Dougoud, Michaël ; Mazza, Christian ; Schwaller, Beat ; Pecze, László

In: Bulletin of Mathematical Biology, 2019, vol. 81, no. 5, p. 1461–1478

Here, we present a theoretical investigation with potential insights on developmental mechanisms. Three biological factors, consisting of two diffusing factors and a cell- autonomous immobile transcription factor are combined with different feedback mechanisms. This results in four different situations or fur patterns. Two of them reproduce classical Turing patterns: (1) regularly spaced...

Université de Fribourg

Expected depth of random walks on groups

Bou-Rabee, Khalid ; Manolescu, Ioan ; Myropolska, Aglaia

In: Pacific Journal of Mathematics, 2019, vol. 298, no. 2, p. 267–284

Université de Fribourg

Regularity of quasi-n-harmonic mappings into NPC spaces

Guo, Chang-Yu ; Xiang, Chang-Lin

In: Annali di Matematica Pura ed Applicata (1923 -), 2019, vol. 198, no. 2, p. 367–380

We prove local Hölder continuity of quasi-n-harmonic mappings from Euclidean domains into metric spaces with non-positive curvature in the sense of Alexandrov. We also obtain global Hölder continuity of such mappings from bounded Lipschitz domains.

Université de Fribourg

Metric currents and the Poincaré inequality

Fässler, Katrin ; Orponen, Tuomas

In: Calculus of Variations and Partial Differential Equations, 2019, vol. 58, no. 2, p. 69

We show that a complete doubling metric space (X,d,μ) supports a weak 1-Poincaré inequality if and only if it admits a pencil of curves (PC) joining any pair of points s,t∈X . This notion was introduced by S. Semmes in the 90’s, and has been previously known to be a sufficient condition for the weak 1-Poincaré inequality. Our argument passes through the intermediate notion of a...

Université de Fribourg

Convexity of complements of tropical varieties, and approximations of currents

Adiprasito, Karim ; Babaee, Farhad

In: Mathematische Annalen, 2019, vol. 373, no. 1, p. 237–251

The goal of this note is to affirm a local version of conjecture of Nisse–Sottile [19] on higher convexity of complements of tropical varieties, while providing a family of counter-examples for the global Nisse–Sottle conjecture in any codimension and dimension higher than one. Moreover, it is shown that, surprisingly, this family also provides a family of counter-examples for the...

Université de Fribourg

Complementary medicine use during cancer treatment and potential herb-drug interactions from a cross-sectional study in an academic centre

Jermini, Mégane ; Dubois, Julie ; Rodondi, Pierre-Yves ; Zaman, Khalil ; Buclin, Thierry ; Csajka, Chantal ; Orcurto, Angela ; Rothuizen, Laura E .

In: Scientific Reports, 2019, vol. 9, no. 1, p. 5078

Complementary medicine (CM) is used by one third to one half of cancer patients throughout the world. The objective of this study was to describe the prevalence of CM use and the potential for interactions with cancer treatments in an academic oncology centre. A cross-sectional study was conducted among patients undergoing current cancer treatment. Among 132 included patients, 56% had used CM...

Université de Fribourg

Climate change research in bilateral development programmes: experiences from India and Peru

Muccione, Veruska ; Orlowsky, Boris ; Allen, Simon K. ; Huggel, Christian ; Salzmann, Nadine ; Montoya, Nilton ; Randhawa, Surjeet Singh ; Stoffel, Markus

In: Development in Practice, 2019, vol. 29, no. 3, p. 336–348

This article reflects on the merits and shortfalls of bilateral research programmes aimed at strengthening climate change research capabilities, using the experience from two programmes, the PACC and IHCAP in Peru and India, respectively. The study highlights key aspects of these types of bilateral programmes, namely: capacity; performance, salary and appreciation; funding; bureaucracy and...

Université de Fribourg

Boron isotope composition of the cold-water coral Lophelia pertusa along the Norwegian margin: Zooming into a potential pH-proxy by combining bulk and high-resolution approaches

Jurikova, Hana ; Liebetrau, Volker ; Raddatz, Jacek ; Fietzke, Jan ; Trotter, Julie ; Rocholl, Alexander ; Krause, Stefan ; Mc Culloch, Malcolm ; Rüggeber, Andres ; Eisenhauer, Anton

In: Chemical Geology, 2019, vol. 513, p. 143–152

High-latitude cold-water coral reefs are particularly vulnerable to climate change due to enhanced CO2 uptake in these regions. To evaluate their physiological functioning and potential application as pH archives, we retrieved both recent and fossil samples of Lophelia pertusa along the Norwegian margin from Oslofjord (59°N), over to Trondheimsfjord, Sula and Lopphavet (70.6°N). Boron...

Université de Fribourg

Modelling the future evolution of glaciers in the European Alps under the EURO-CORDEX RCM ensemble

Zekollari, Harry ; Huss, Matthias ; Farinotti, Daniel

In: The Cryosphere, 2019, vol. 13, no. 4, p. 1125–1146

Glaciers in the European Alps play an important role in the hydrological cycle, act as a source for hydroelectricity and have a large touristic importance. The future evolution of these glaciers is driven by surface mass balance and ice flow processes, of which the latter is to date not included explicitly in regional glacier projections for the Alps. Here, we model the future evolution of...